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Then calculate demand of the input of the machine.
Keep calculating the demand of all the machines and you figure out your entire production line.
Dunno if this counts as "without tools", but I did make the tool myself so I had to know how to perform all the calculations. The core formula is real simple though, you take the number of items you want to produce per minute, divide by the output rate of the recipe and multiply by the input rates to get how many items you need to supply. Repeat for every item in the production chain until you arrive at items which are imported from elsewhere.
Just have enough, more rather than less, of each material to make whatever you need. Sink the overflow (using a smart splitter) if needed or just feed it back to a source container.
Oh and work backwards - yes the later recipes that isn't a constructor are going to need you to use a pen and paper to write this down.
Start here:
Step 1) Final Product requirements - xx per minute required
Step 2) For final product, what materials are required?
Step 3) For final product, how many of the materials per minute are required to get you your required final product per minute?
Step 4) Go back band repeat steps 1-3 for each of your materials required for the final product, where the required materials become the final product for that part of the chain. Repeat until you have all materials made and only those left which come out of a node (i.e. requires no further processing)
I think that would be the simplest way I could think of saying what the process is. Apart from stating again if something only needs 59 items to be 100%, dont worry about feeding it 60, 120 or even 240. The nodes are endless supply so, if not needed, just pipe it all in and sink the overflow and at least get some tickets to buy at the shop :)